At the moment,I think that the renormalization group flow is fulfiled ''after'' the renormalization that having accounted the UV cutting-off(in loop integrals),because we know that the Callan-Symanzik functions are independent of the momentum UV cutting-off(in loop integrals).Then the meaning of renormalization group flow is it permits us to know about the physics at any scale of space-time distance(the scale depends on the renormalization conditions).Is that correct?